PRAKTIS FORMATIF Kertas 1

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1 . ari nilai-nilai untuk. ind the values of for. ilai sin adalah negatif. aka, adalah dalam sukuan III sin =.7 atau I. he value of sin is negative. hus, is in quadrant III or I. sin ʹ =.7 = + ʹ atau/or = ʹ = ʹ = 9ʹ. sin =.77 sin =.77 = atau = =. sin =. = sin.7 =. atau/or ʹ I sin. 7 =.,,, 9. sin ʹ =. = ʹ atau = ʹ = ʹ (i). elesaikan masalah berikut. olve the following problems.. 7 cm (a) = 7 = cm sin = = 7 cm (ii) alam rajah di sebelah, dan ialah garis lurus. ari nilai bagi In the diagram, and are straight lines. ind the value of (a) sin, tan. = + = cm tan = tan = = =. sin =. sin =. = + atau = = =. sin =. sin 7 ʹ =. = + 7 ʹ atau = 7 ʹ = 7 ʹ = ʹ. α cm cm β alam rajah di sebelah, ialah garis lurus dan nisbah : = :. itung nilai bagi In the diagram, is a straight line and the ratio of : = :. alculate the value of (a) tan α, kos β. cos β.. kos =.7/cos =.7 kos =.7 = atau = =. kos =.77/cos =.77 kos 9 ʹ =.77 = 9 ʹ atau = 9 ʹ = ʹ (a) = = = = = tan α = = = kos β = kos = = 7. kos =./cos =. kos =. = atau = + = = 9. tan =.7. kos =.7/cos =.7 kos 7 ʹ =.7 = 7 ʹ atau = + 7 ʹ = 9 7ʹ = ʹ. tan =.. m ajah di sebelah menunjukkan sebatang tiang lampu. dan ialah dua dawai ang masing-masing diikat ke tanah di dan. ialah garis lurus di atas tanah mengufuk. ialah titik tengah. inggi tiang lampu itu ialah m. he diagram shows a lamp post. and are two wires tied to the ground at and respectivel. is a straight line on horizontal ground. is the midpoint of. he height of the lamp post is m. tan 7 =.7 = 7 atau = + 7 = tan =. = atau = + = (a) ari nilai bagi kos. ind the value of cos. iberi tan =, cari jarak, dalam m, bagi. iven tan =, find the distance, in m, of.. tan =.77 tan =.77 = atau = = =. tan =. tan ʹ =. = ʹ atau = ʹ = 99 ʹ = 79 ʹ (a) = + = m kos = = = = m = m tan = tan = = = m = m 9 9. raf inus, osinus dan angen. engkapkan jadual berikut. eterusna, lukis graf ang berkenaan. omplete the following tables. ence, draw the respective graphs.. = sin, = sin. = sin = kos / = cos, = kos / = cos = tan, = tan 9 7 = kos 9 7 = tan 9 7,,, (i). atakan nilai (-nilai) bagi setiap ang berikut dalam julat. tate the value(s) of in each of the following in the range of. sin = =,,. sin = = 9. sin = = 7 I I ertas = kos = cos 9 7 = sin. kos = cos = = 9, 7. kos = cos = =, 7. kos = cos = = awab semua soalan. agi setiap soalan, pilih satu jawapan sahaja daripada pilihan,, dan. nswer all the questions. or each question, choose onl one answer from the options,, and.. alam rajah di bawah, titik terletak di atas suatu bulatan unit berpusat. In the diagram, point lies on a unit circle with centre. (.7,.) atakan nilai bagi kos. tate the value of cos = tan 9 7. tan = =,,. tan = =,. sin = kos sin = cos =, II ubtopik 9.., alam rajah di bawah, titik terletak di atas suatu bulatan unit berpusat. In the diagram, point lies on a unit circle with centre. (.9,.7) atakan nilai bagi tan. tate the value of tan (ii)

2 . ajah di bawah menunjukkan titik ditandakan pada suatu satah artes. he diagram shows a point plotted on a artesian plane.. ajah di bawah menunjukkan dua segi tiga bersudut tegak, dan. ialah garis lurus dan =. he diagram shows two right-angled triangles, and. is a straight line and =.. alam rajah di bawah, ialah sebuah segi tiga bersudut tegak. ialah garis lurus dan ialah titik tengah bagi. In the diagram, is a right-angled triangle. is a straight line and is the midpoint of.. alam rajah di bawah, ialah garis lurus. In the diagram, is a straight line. ari nilai. ind the value of. 9 ʹ ʹ (.,.7) ʹ ʹ. alam rajah di bawah, titik dan titik terletak di atas lengkok suatu bulatan unit berpusat. In the diagram, point and point lie on the arc of a unit circle with centre. (.,.) β (.9,.) α ari nilai sin α + kos β. ind the value of sin α + cos β iberi bahawa kos = dengan keadaan, cari nilai bagi tan. iven that cos = where, find the value of tan.. iberi bahawa tan =.77 dan. ari nilai-nilai. It is given that tan =.77 and. ind the values of.,,,, 7. iberi bahawa kos =.9 dan. ari nilai. It is given that cos =.9 and. ind the value of. ʹ ʹ ʹ ʹ cm cm iberi sin =, cari nilai bagi tan. iven sin =, find the value of tan. 9. alam rajah di bawah, ialah garis lurus. In the diagram, is a straight line. iberi sin =, cari tan. iven sin =, find tan.. alam rajah di bawah, dan ialah segi tiga bersudut tegak. ialah garis lurus. In the diagram, and are right-angled triangles. is a straight line. cm iberi bahawa sin = dan =. ari panjang, dalam cm, bagi. It is given that sin = and =. ind the length, in cm, of ari nilai bagi kos. ind the value of cos.. alam rajah di bawah, dan ialah dua segi tiga bersudut tegak. In the diagram, and are two right-angled triangles. cm cm iberi sin = dan kos =, cari panjang, dalam cm, bagi. iven sin = and cos =, find the length, in cm, of. 9. alam rajah di bawah, ialah segi empat selari dan ialah garis lurus. In the diagram, is a parallelogram and is a straight line. iberi sin =, cari nilai bagi kos. 7 iven sin =, find the value of cos iberi =, = cm, = cm dan tan =, cari nilai sin. iven =, = cm, = cm and tan =, find the value of sin.. ajah di bawah menunjukkan sebuah segi tiga bersudut tegak. ialah garis lurus. he diagram shows a right-angled triangle. is a straight line. cm iberi sin =, hitung panjang, dalam cm, bagi. iven sin =, calculate the length, in cm, of.. ajah di bawah menunjukkan sebuah tangga ang tersandar pada satu tembok dan ialah garis lurus. he diagram shows a ladder which leans against a wall and is a straight line. iberi = m dan kos =, cari tinggi, 7 dalam m, bagi. iven = m and cos =, find the height, in m, 7 of raf manakah ang mewakili sebahagian daripada = kos? Which graph represents part of = cos? raf manakah ang mewakili = sin bagi? Which graph represents = sin for? raf manakah ang mewakili sebahagian daripada = tan? Which graph represents part of = tan? 9 9. ajah di bawah menunjukkan graf = sin dan = kos. he diagram shows the graph of = sin and = cos. atakan nilai. tate the value of. = kos = cos = sin. ajah di bawah menunjukkan sebahagian daripada = sin. he diagram shows part of = sin. ari koordinat titik. ind the coordinates of point. (, ) (, ) (9, ) (, ). ajah di bawah menunjukkan graf = kos. he diagram shows the graph of = cos. (.9, ) I I. udut ongakan dan udut unduk. udut dongakan ngle of elevation. atakan sudut dongakan atau sudut tunduk berdasarkan rajah ang diberi. tate the angles of elevation or depression based on the given diagrams. (a) udut dongakan dari : ngle of elevation of from : atau/or udut tunduk dari : ngle of depression of from : atau/or. aris mengufuk orizontal line. udut tunduk ngle of depression. (a) udut dongakan dari : ngle of elevation of from : atau udut tunduk dari : ngle of depression of from : atau. aris mengufuk orizontal line.. (a) udut dongakan dari : ngle of elevation of from : atau udut tunduk dari : ngle of depression of from : atau. aris mengufuk orizontal line udut tunduk ngle of depression udut dongakan ngle of elevation udut selang-seli lternate angles =,,, (i) 7 7 ari sin. ind sin (a) udut dongakan dari : ngle of elevation of from : atau udut tunduk dari : ngle of depression of from : atau (a) udut dongakan dari : ngle of elevation of from : atau udut tunduk dari : ngle of depression of from : atau (a) udut dongakan dari : ngle of elevation of from : atau udut tunduk dari : ngle of depression of from : atau 9

3 . ukis satu rajah ang menunjukkan sudut dongakan atau sudut tunduk untuk mewakili setiap situasi berikut. raw a diagram which shows the angle of elevation or angle of depression to represent each of the following situations. (ii) aang-laang ar sedang bermain laang-laang. udut dongakan laang-laang daripada ite ar ialah. ar is fling a kite. he angle of elevation of the kite from ar is.. am sedang memerhatikan sebuah helikopter ang terbang di langit. udut dongakan helikopter dari am ialah. am is looking at a helicopter which is fling in the sk. he angle of elevation of the helicopter from am is. am elikopter. elesaikan setiap masalah berikut. olve each of the following problems.. m (a) tan = = tan =. m m m. li sedang memerhatikan seekor ikan di dalam sebuah kolam. udut tunduk ikan dari li ialah. li is looking at a fish in a pond. he angle of depression of the fish from li is. li Ikan alam rajah di sebelah, ialah sebatang tiang tegak. In the diagram, is a vertical pole.. ialah satu titik di atas lantai mengufuk. udut dongakan puncak sebuah menara dari ialah. is a point on horizontal ground. he angle of elevation of the top of a tower from is. uncak menara itung/alculate (a) tinggi, dalam m, bagi, sudut tunduk dari. the height, in m, of, the angle of depression of from.. m alam rajah di sebelah, dan ialah dua titik di atas satah mengufuk. itung sudut tunduk dari. In the diagram, and are two points on a horizontal plane. alculate the angle of depression of from. tan = = =. atau 7ʹ udut tunduk dari =. atau 7ʹ ar tan = =. = 7.9 atau/or 7 ʹ udut tunduk dari = 7.9 atau 7 ʹ m ngle of depression of from = 7.9 or 7 ' (iii)... m m m (a) = m = m tan = = tan =.7 m hemah ent m m alam rajah di sebelah, dan ialah dua batang tiang tegak di atas satah mengufuk. inggi adalah separuh daripada tinggi. udut dongakan dari ialah. itung tinggi, dalam m, bagi. In the diagram, and are two vertical poles on a horizontal plane. he height of is half of the height of. he angle of elevation of from is. alculate the height, in m, of. tan = = tan = 7. m = = 7. m =. m m alam rajah di sebelah, ialah sebatang tiang tegak di atas satah mengufuk dan =. In the diagram, is a vertical pole on a horizontal plane and =. (a) itung jarak, dalam m, bagi. alculate the distance, in m, of. ari sudut tunduk dari. ind the angle of depression of from. tan =.7 = 9. atau 9 7ʹ udut tunduk dari = 9. atau 9 7ʹ opal ajah di sebelah menunjukkan opal berada di stesen peninjau. udut tunduk sebuah khemah dari matana ialah. ras matana adalah m dari tanah mengufuk. ari nilai. he diagram shows opal in a lookout station. he angle of depression of a tent from his ees s is. is ee level is m above the horizontal ground. ind the value of. tan = = tan =.9 7 I I ertas awab semua soalan. agi setiap soalan, pilih satu jawapan sahaja daripada pilihan,, dan. nswer all the questions. or each question, choose onl one answer from the options,, and.. ebiji guli terletak di atas permukaan tanah. il berdiri m dari guli itu. udut tunduk guli itu dari il ialah. ajah manakah ang mewakili situasi tersebut? marble is placed on the ground. il is standing m awa from the marble. he angle of depression of the marble from il is. Which diagram represents the situation? m m. iberi bahawa sudut dongak dari ialah. ntara rajah berikut, ang manakah mewakili situasi tersebut? It is given that the angle of elevation of from is. Which of the following diagrams represents the situation? atah mengufuk orizontal plane atah mengufuk orizontal plane m m atah mengufuk orizontal plane atah mengufuk orizontal plane. ajah di bawah menunjukkan sebuah pentagon sekata, ang diperbuat daripada kerangka besi dan terletak di atas satah mengufuk. ialah garis lurus. he diagram shows a regular pentagon, made b metal frame and ling on a horizontal plane. is a straight line. II ubtopik..,,.,.,.,. ajah di bawah menunjukkan dua batang tiang mencancang, dan. he diagram shows two vertical poles, and. ntara pernataan berikut, ang manakah benar? Which of the following statements is true? udut dongakan bagi titik dari titik ialah. he angle of elevation of point from point is. udut dongakan bagi titik dari titik ialah. he angle of elevation of point from point is. udut tunduk bagi titik dari titik ialah. he angle of depression of point from point is. udut tunduk bagi titik dari titik ialah. he angle of depression of point from point is.. zman sedang membuat pemer hatian dari puncak menara. ia memerhatikan puncak menara dengan suatu sudut dongakan dan memerhatikan puncak menara dengan suatu sudut tunduk. ajah manakah ang mewakili tiga menara itu dengan betul? zman makes an observation from the top of tower. e observes the top of tower at an angle of elevation and observes the top of tower at an angle of depression. Which diagram represents the three towers correctl?. dan ialah dua batang tiang tegak pada satah mengufuk. udut dongakan puncak dari puncak ialah. udut tunduk dari puncak ialah. ajah manakah ang mewakili situasi tersebut? and are two vertical poles on a horizontal plane. he angle of elevation of verte from verte is. he angle of depression of from verte is. Which diagram represents the situation? 7. ajah di bawah menunjukkan sebatang tiang bendera di atas satah mengufuk. itik dan terletak di atas satah itu. he diagram shows a vertical flagpole on a horizontal plane. he points and lie on the plane. m m itung sudut dongakan titik dari titik. alculate the angle of elevation of point from point. ʹ ʹ ʹ ʹ. alam rajah di bawah, ialah sebatang tiang tegak. In the diagram, is a vertical pole. 9. ajah di bawah menunjukkan dua batang tiang tegak, dan, pada satah mengufuk. he diagram shows two vertical poles, and, on a horizontal plane. m m udut dongakan dari ialah. itung sudut tunduk dari. he angle of elevation of from is. alculate the angle of depression of from. ʹ 7ʹ ʹ 7ʹ. alam rajah di bawah, dan ialah dua batang tiang tegak ang terletak pada satah mengufuk. inggi adalah dua kali tinggi. In the diagram, and are two vertical poles on a horizontal plane. he height of is twice the height of. m udut tunduk dari puncak ialah. itung tinggi, dalam m, bagi. he angle of depression of from verte is. alculate the height, in m, of ajah di bawah menunjukkan sebatang pokok. itik, dan terletak pada satah mengufuk. he diagram shows a tree. oints, and lie on a horizontal plane. m ntara berikut, ang manakah sudut tunduk dari titik? Which of the following is the angle of depression from point? m udut tunduk titik dari titik ialah. itung tinggi, dalam m, tiang itu. he angle of depression of point from point is. alculate the height, in m, of the pole m udut dongakan dari ialah. itung sudut tunduk dari. he angle of elevation of from is alculate the angle of depression of from. ʹ 7ʹ ʹ ʹ 9

4 . ajah di bawah menunjukkan eter sedang memandang ke arah puncak sebuah menara. he diagram shows eter observing the peak of a tower.. ajah di bawah menunjukkan sebuah khemah di atas suatu satah mengufuk. he diagram shows a tent on a horizontal plane. lemen -. m m eter berdiri m dari menara itu. udut dongakan puncak menara itu dari aras mata eter ialah 7. itung tinggi, dalam m, menara itu. eter stands m awa from the tower. he angle of elevation of the peak of the tower from eter s ee level is 7. alculate the height, in m, of the tower ajah di bawah menunjukkan keratan rentas sebuah tangki. he diagram shows the cross section of a tank. m iberi bahawa sudut dongakan dari ialah ʹ. itung kedalaman, dalam m, air di dalam tangki itu. It is given that the angle of elevation of from is. alculate the depth, in m, of water in the tank hemah ent.9 m ali ope ancang eg udut tunduk titik pada pancang dari puncak khemah itu ialah. ari panjang minimum, dalam m, tali ang menghubungkan puncak khemah dengan titik pada pancang itu. he angle of depression of point on the peg from the top of the tent is. ind the minimum length, in m, of the rope connecting the top of the tent and point on the peg ajah di bawah menunjukkan dua rak buku, dan. ak buku mempunai tiga tingkat dengan ketinggian setiap tingkat ialah. m. ak buku mempunai lima tingkat dengan ketinggian setiap tingkat ialah. m. ebuah bangku setinggi. m terletak di antara dua rak buku itu. he diagram shows two bookshelves, and. ookshelf has three levels with a height of. m each level. ookshelf has five levels with a height of. m each level. stool with a height of. m is placed between the two bookshelves. okus lemen - ideo utorial. emahiran ognitif/ognitive kills: engaplikasi/pping onteks/ontet: udut ongakan dan udut unduk ngles of levation and epression ajah di bawah menunjukkan dua ekor kucing, dan, di atas lantai mengufuk ang sedang memerhatikan seekor tikus ang berada di atas sebuah tong sampah. udut tunduk kucing dari tikus itu ialah dan jarak di antara dua ekor kucing itu ialah. m. he diagram shows two cats, and, on horizontal floor observing a mouse which is on a dustbin. he angle of depression of cat from the mouse is and the distance between the two cats is. m.. m. m itung sudut dongakan tikus itu dari kucing. alculate the angle of elevation of the mouse from cat emahiran ognitif/ognitive kills: engaplikasi/pping onteks/ontet: udut ongakan dan udut unduk ngles of levation and epression ajah di bawah menunjukkan ohan berdiri di atas sebuah pentas mengufuk. itik, dan terletak pada satah mencancang ang sama. udut tunduk titik dari aras matana bila dia berada di dan masingmasing ialah dan. he diagram shows ohan is standing on a horizontal stage. oints, and are on the same vertical plane. he angles of depression of point from his ee level when he is at and are and respectivel. ras mata e level m ohan entas tage iberi jarak mengufuk titik dari tapak pentas itu ialah m. itung jarak, dalam m, bagi. iven the horizontal distance of point from the base of the stage is m. alculate the distance, in m, of ras mata ohan. alam rajah di bawah, suatu alat digunakan untuk mengukur tinggi bagi sebuah terowong jalan raa. berada pada satah mengufuk. In the diagram, an instrument is used to measure the height of of a road tunnel. is on a horizontal plane. m iberi bahawa ialah. m dan sudut dongakan dari ialah 7. ari tinggi, dalam m, bagi. It is given that is. m and the angle of elevation of from is 7. ind the height, in m, of ak buku ookshelf ak buku ookshelf udut dongakan titik dari titik ialah dan sudut tunduk titik dari titik ialah. ari jarak, dalam m, di antara dua rak buku itu. he angle of elevation of point from point is and the angle of depression of point from point is. ind the distance, in m, between the two bookshelves m. = tan =.9 m =.9 +. =.7 m = tan..7 =.. m udut dongakan tikus itu dari kucing =. () t m t tan = t = tan =. m. tan = +. + = tan =.77 =.77 =.77 m () entas I I II I I -II. udut di antara aris dengan atah. enal pasti dan namakan semua normal kepada satah ang diberi dalam objek berikut. Identif and name all the normals to the given planes in the following objects... (a) ormal kepada satah : ormals to the plane :,,, ormal kepada satah : ormals to the plane :,,, (a) ormal kepada tapak : ormal to the base : ormal kepada satah : ormals to the plane :, udut di antara garis dengan satah ngle between the line and the plane njuran ortogon rthogonal projection atah lane (v) ormal kepada satah ormal to the plane lemen - autan antas. amakan sudut di antara garis dengan satah ang diberi bagi setiap ang berikut. ame the angle between the line and the plane given for each of the following. (a) aris dengan tapak : atau/or ine and the base : aris dengan satah : atau/or ine and the plane :. (a) aris dengan tapak : / ine and the base : aris dengan satah : / ine and the plane :. W (a) aris dengan tapak : ine and the base : / aris W dengan satah W: W / W ine W and the plane W: (viii). amakan unjuran ortogon bagi garis pada satah ang diberi dalam setiap ang berikut. ame the orthogonal projection of the line on the given plane in each of the following. (a) aris pada tapak : ine on the base : aris pada satah : ine on the plane : (vi). (a) aris dengan satah : ine and the plane : /. (a) aris dengan tapak : ine and the base : /. (a) aris pada satah : ine on the plane : aris pada tapak : ine on the base : aris dengan satah : ine and the plane :. / aris dengan satah : ine and the plane :. /. (a) aris pada tapak : ine on the base : aris pada satah : ine on the plane :. (a) aris pada tapak : ine on the base : aris pada satah : ine on the plane : (a) aris dengan tapak : ine and the base : aris dengan satah : ine and the plane : / / (a) aris dengan tapak : / ine and the base : aris dengan satah : ine and the plane : /

5 . elesaikan setiap ang berikut. olve each of the following.. cm cm ajah di sebelah menunjukkan sebuah piramid. apak ialah sebuah segi empat tepat ang mengufuk. ucu adalah tegak di atas titik. he diagram shows a pramid. he base is a horizontal rectangle. he verte is verticall above the point. (a) ada rajah itu, tandakan sudut di antara garis dengan tapak. n the diagram, mark the angle between the line and the base. eterusna, hitung sudut itu. ence, calculate the angle. = + 9 = cm tan = =. atau ʹ udut di antara garis dengan tapak =. atau ' (i). udut di antara ua atah. amakan sudut di antara dua satah ang diberi. ame the angle between the two given planes. (a) atah dengan tapak : atau/or he plane and the base : atah dengan satah : atau/or he plane and the plane :..,,,, (iii). cm cm (a) atau. cm cm cm cm ajah di sebelah menunjukkan sebuah kuboid dengan tapak mengufuk. he diagram shows a cuboid with a horizontal base. (a) amakan sudut di antara garis dengan satah. ame the angle between the line and the plane. itung sudut di antara garis dengan satah. alculate the angle between the line and the plane. = 9 + = cm tan = =. atau 9ʹ udut di antara garis dengan satah =. atau 9ʹ ajah di sebelah menunjukkan sebuah prisma tegak dengan tapak mengufuk. egi tiga ialah keratan rentas seragam prisma itu. ialah titik tengah dan =. he diagram shows a right prism with a horizontal base. he triangle is the uniform cross section of the prism. is the midpoint of and =. (a) amakan sudut di antara garis dengan tapak. ame the angle between the line and the base. itung sudut di antara garis dengan tapak. alculate the angle between the line and the base. (a) atau = cm = cm = + = cm tan = cm =. atau ʹ udut di antara garis dengan tapak =. atau ʹ (a) atah dengan tapak : he plane and the base : / atah dengan satah : he plane and the plane : /. W (a) atah dengan satah : he plane and the plane : / atah dengan satah W: he plane and the plane W: /. (a) atah dengan tapak : he plane and the base : / atah dengan satah : / he plane and the plane : (a) atah dengan tapak : he plane and the base : / atah dengan satah : he plane and the plane : /. (a) atah dengan tapak : he plane and the base : / atah dengan satah : / he plane and the plane :. (a) atah dengan tapak : he plane and the base : / atah dengan satah : / he plane and the plane :. elesaikan setiap ang berikut. olve each of the following.. cm cm ajah di sebelah menunjukkan sebuah prisma tegak. apak ialah segi empat tepat mengufuk. egi tiga bersudut tegak ialah keratan rentas seragam prisma itu. he diagram shows a right prism. he base is a horizontal rectangle. he right-angled triangle is the uniform cross section of the prism. (a) amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane. itung sudut di antara satah dengan satah. alculate the angle between the plane and the plane. (a) atau tan = =. cm = udut di antara satah dengan satah =. cm (a) atau = = cm ajah di sebelah menunjukkan sebuah kuboid dengan tapak mengufuk. ialah titik tengah bagi. he diagram shows a cuboid with a horizontal base. is the midpoint of. (a) amakan sudut di antara satah dengan tapak. ame the angle between the plane and the base. itung sudut di antara satah dengan tapak. alculate the angle between the plane and the base. (iv) I I ertas awab semua soalan. agi setiap soalan, pilih satu jawapan sahaja daripada pilihan,, dan. nswer all the questions. or each question, choose onl one answer from the options,, and.. ajah di bawah menunjukkan sebuah kuboid dengan tapak mengufuk. he diagram shows a cuboid with a horizontal base. amakan sudut di antara garis dengan tapak. ame the angle between the line and the base.. ajah di bawah menunjukkan sebuah piramid dengan tapak mengufuk segi tiga. ucu berada tegak di atas. he diagram shows a pramid with a horizontal triangular base. he verte is verticall above. II ubtopik ajah di bawah menunjukkan sebuah kuboid dengan tapak mengufuk. he diagram shows a cuboid with a horizontal base. W amakan sudut di antara garis dengan satah. ame the angle between the line and the plane.. ajah di bawah menunjukkan sebuah prisma tegak dengan tapak segi empat tepat. he diagram shows a right prism with a rectangular base. cm. cm (a) atau tan = =. atau ʹ udut di antara satah dengan tapak =. atau ʹ cm = = = + = cm ajah di sebelah menunjukkan sebuah prisma tegak dengan trapezium sebagai keratan rentas seragamna. apak ialah segi empat tepat mengufuk. he diagram shows a right prism with the trapezium as its uniform cross section. he base is a horizontal rectangle. (a) amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane. itung sudut di antara satah dengan satah. alculate the angle between the plane and the plane. cm tan = =.97 atau ʹ udut di antara satah dengan satah =.97 atau ʹ amakan sudut di antara garis dengan tapak. ame the angle between the line and the base.. ajah di bawah menunjukkan sebuah piramid tegak dengan tapak segi empat sama. he diagram shows a right pramid with a square base. pakah sudut di antara garis dengan tapak? What is the angle between the line and the base? amakan sudut di antara garis dengan tapak. ame the angle between the line and the base.. ajah di bawah menunjukkan satu prisma tegak dengan tapak mengufuk. he diagram shows a right prism with a horizontal base. W amakan sudut di antara garis lurus W dan satah. ame the angle between the straight line W and the plane. W W W W 7

6 7. ajah di bawah menunjukkan sebuah prisma tegak dengan tapak mengufuk. dan masingmasing ialah titik tengah dan. he diagram shows a right prism with a horizontal base. and are the midpoints of and respectivel.. ajah di bawah menunjukkan sebuah prisma tegak dengan tapak mengufuk segi empat tepat. he diagram shows a right prism with a horizontal rectangular base. W. ajah di bawah menunjukkan sebuah piramid dengan segi tiga sama kaki sebagai tapak mengufuk. ialah titik tengah dan berada tegak di atas. he diagram shows a pramid with an isosceles triangle as the horizontal base. is the midpoint of and is verticall above. amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane.. ajah di bawah menunjukkan sebuah kuboid dengan tapak mengufuk. he diagram shows a cuboid with a horizontal base. amakan sudut di antara garis dengan satah. ame the angle between the line and the plane.. ajah di bawah menunjukkan sebuah kuboid dengan tapak segi empat tepat. he diagram shows a cuboid with a rectangular base. amakan sudut di antara satah dengan tapak. ame the angle between the plane and the base. W. ajah di bawah menunjukkan sebuah piramid dengan tapak segi empat tepat. ucu berada tegak di atas. he diagram shows a pramid with its rectangular base. he verte is verticall above. amakan sudut di antara satah dengan tapak. ame the angle between the plane and the base.. ajah di bawah menunjukkan sebuah piramid dengan segi tiga sama sisi sebagai tapak mengufuk. ialah titik tengah dan ialah titik tengah. he diagram shows a pramid with an equilateral triangle as the horizontal base. is the midpoint of and is the midpoint of. amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane. 7. ajah di bawah menunjukkan sebuah prisma tegak dengan tapak segi empat tepat. he diagram shows a right prism with a rectagular base. itung sudut di antara garis dengan tapak. alculate the angle between the line and the base. ʹ 7ʹ 7ʹ 7 ʹ 9. ajah di bawah menunjukkan sebuah kuboid dengan tapak mengufuk. he diagram shows a cuboid with a horizontal base. amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane.. ajah di bawah menunjukkan sebuah prisma tegak dengan sebagai tapak mengufuk. rapezium W ialah keratan rentas seragam prisma itu. he diagram shows a right prism with as the horizontal base. rapezium W is the uniform cross section of the prism. W amakan sudut di antara satah dengan tapak. ame the angle between the plane and the base. amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane.. ajah di bawah menunjukkan sebuah prisma tegak dengan tapak mengufuk. he diagram shows a right prism with a horizontal base. pakah sudut di antara satah dengan tapak? What is the angle between the plane and the base? amakan sudut di antara satah dengan satah W. ame the angle between the plane and the plane W. W. ajah di bawah menunjukkan sebuah piramid dengan tapak segi empat tepat. ucu berada tegak di atas. he diagram shows a pramid with a rectangular base. he verte is verticall above. cm cm itung sudut di antara satah dengan tapak. alculate the angle between the plane and the base. 7ʹ ʹ ʹ ʹ 9 I I ertas awab semua soalan. nswer all the questions.. ajah di bawah menunjukkan sebuah prisma tegak. apak ialah segi empat tepat mengufuk. egi tiga bersudut tegak ialah keratan rentas seragam prisma itu. he diagram shows a right prism. he base is a horizontal rectangle. he right-angled triangle is the uniform cross section of the prism. 7 cm (a) amakan sudut di antara garis dengan tapak. ame the angle between the line and the base. itung sudut di antara garis dengan tapak. alculate the angle between the line and the base. [ markah/ marks] (a) atau II ubtopik ajah di bawah menunjukkan sebuah kuboid dengan tapak mengufuk. he diagram shows a cuboid with a horizontal base. cm cm (a) amakan sudut di antara garis W dengan satah W. ame the angle between the line W and the plane W. itung sudut di antara garis W dengan satah W. alculate the angle between the line W and the plane W. [ markah/ marks] (a) W atau W cm W W. ajah di ruang jawapan menunjukkan sebuah kuboid dengan tapak mengufuk segi empat tepat. ialah titik tengah bagi. he diagram shows a cuboid with a horizontal rectangular base. is the midpoint of. (a) ada rajah di ruang jawapan, tandakan sudut di antara garis dengan tapak. n the diagram in the answer space, mark the angle between the line and the base. eterusna, hitung sudut di antara garis dengan tapak. ence, calculate the angle between the line and the base. [ markah/ marks] (a) = = cm cm cm tan = =. atau ʹ. ajah di ruang jawapan menunjukkan sebuah prisma tegak. apak ialah segi empat tepat mengufuk. rapezium ialah keratan rentas seragam prisma itu. he diagram in the answer space shows a right prism. he base is a horizontal rectangle. he trapezium is the uniform cross section of the prism. (a) ada rajah di ruang jawapan, tandakan sudut di antara satah dengan tapak. n the diagram in the answer space, mark the angle between the plane and the base. eterusna, hitung sudut itu. ence, calculate the angle. [ markah/ marks] (a) cm cm = 9 = cm cm = + = cm 7 cm cm tan W = 9 W = 9. atau 9 ʹ udut di antara garis W dengan satah W = 9. atau 9 ʹ udut di antara garis dengan tapak =. atau ʹ tan = = 9. atau 9 ʹ udut di antara satah dengan tapak = 9. atau 9 ʹ tan = 7 = udut di antara garis dengan tapak =

7 . ajah di bawah menunjukkan sebuah prisma tegak dengan tapak segi empat tepat di atas tapak mengufuk. egi tiga bersudut tegak ialah keratan rentas seragam prisma itu. dan masing-masing ialah titik tengah bagi dan. he diagram shows a right prism with a rectangular base on a horizontal plane. he right-angled triangle is the uniform cross section of the prism. and are the midpoints of and respectivel. cm cm (a) amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane. itung sudut di antara satah dengan satah. alculate the angle between the plane and the plane. [ markah/ marks] (a) atau = cm =. ajah di bawah menunjukkan sebuah kotak berbentuk kuboid ang diletakkan di atas sebuah meja mengufuk. ekeping kad berwarna dipasang di dalam kotak itu. ialah titik tengah bagi. he diagram shows a bo in the shape of a cuboid placed on a horizontal table. coloured card is fied inside the bo. is the midpoint of. cm cm 7 cm amakan dan hitung sudut di antara kad berwarna dengan tapak kotak itu. ame and calculate the angle between the coloured card and the base of the bo. [ markah/ marks] 7 cm cm tan = 7 = 9.7 atau 9 ʹ udut di antara kad berwarna dengan tapak kotak itu = atau = 9.7 atau 9 ʹ lemen 7. ajah di sebelah menunjukkan satu kalendar meja di atas meja mengufuk. - iberi = = = = dan puncak kalendar meja itu,, adalah tegak di atas meja mengufuk. he diagram shows a table calendar on a horizontal table. iven = = = = and the peak of the table calendar,, is verticall above the horizontal table. (a) amakan sudut di antara satah dengan satah. ame the angle between the plane and the plane. eterusna, hitung sudut itu. ence, calculate the angle. [ markah/ marks] (a) atau lemen kos = - 9 =.7 atau ʹ = = 7. atau 7 ʹ okus ideo utorial emahiran ognitif/ognitive kills: engaplikasi/pping onteks/ontet: udut di antara aris dengan atah/ngles between ines and lanes ajah di ruang jawapan menunjukkan sekaki paung ang diletakkan di dalam sebuah kotak kau berbentuk kuboid dengan tapak mengufuk. he diagram in the answer space shows an umbrella which was placed in a wooden bo in the shape of a cuboid with the horizontal base. (a) ada rajah itu, tandakan sudut di antara paung itu dengan tapak. n the diagram, mark the angle between the umbrella and the base. eterusna, hitung sudut itu. ence, calculate the angle. tan = =.7 atau ʹ (a) udut di antara paung itu dengan tapak = udut di antara satah dengan satah =.7 atau ʹ cm cm cm cm cm alam Δ, alam Δ, = + tan = = cm =. atau ʹ udut di antara paung itu dengan tapak =. atau ʹ oligon I & II/olgons I & II. ajah di bawah menunjukkan sebuah pentagon tak sekata. ialah garis lurus. he diagram shows an irregular pentagon. is a straight line. ari nilai. ind the value of.. alam rajah di bawah, ialah sebuah heksagon tak sekata dan =. dan ialah garis lurus. In the diagram, is an irregular heagon and =. and are straight lines. I W (okus pada topik-topik ingkatan, dan ang biasa disoal dalam ertas oalan ) ari nilai. ind the value of ajah di bawah menunjukkan sebuah pentagon sekata dan ialah garis lurus. he diagram shows a regular pentagon and is a straight line. ari nilai. ind the value of. 7. ajah di bawah menunjukkan empat bucu,,, dan, bagi sebuah poligon sekata. he diagram shows four vertices,,, and, of a regular polgon. ari bilangan sisi bagi poligon itu. ind the number of sides of the polgon. 9 enjelmaan I & II/ransformations I & II. alam rajah di bawah, ialah imej bagi di bawah satu putaran 9 ikut arah jam pada titik. In the diagram, is the image of under a clockwise rotation of 9 about point. 7 ari koordinat titik. ind the coordinates of point. (, ) (, ) (, ) (, ) -. ajah di bawah menunjukkan dua titik, dan, ang dilukis pada satah artes. he diagram shows two points, and, drawn on a artesian plane. ialah imej bagi di bawah satu translasi. atakan translasi itu. is the image of under a translation. tate the translation alam rajah di bawah, trapezium ialah imej bagi trapezium di bawah suatu pantulan. In the diagram, trapezium is the image of trapezium under a certain reflection. ntara titik,, dan, ang manakah ialah imej bagi titik di bawah pantulan ang sama? Which of the following points,,, or, is the image of point under the same reflection?. ajah di bawah menunjukkan dua pentagon, dan, ang dilukis pada satah artes. ialah imej bagi di bawah satu pembesaran. he diagram shows two pentagons, and, drawn on a artesian plane. is the image of under an enlargement. ntara berikut, ang manakah pusat dan faktor skala pembesaran itu? Which of the following are the centre and the scale factor of the enlargement? usat aktor skala entre cale factor (, ) (, ) (, ) (, ) ngkapan lgebra II & III lgebraic pressions II & III 9. ngkapkan r r sebagai satu pecahan tunggal r dalam bentuk termudah. press r r as a single fraction in its simplest form. r r + r r r r + r 7r r p. ngkapkan m m m sebagai satu pecahan mp + p tunggal dalam bentuk termudah. p press m m m as a single fraction in its simplest mp + p form. p m p + m + mp m + p(m + ) m. ngkapkan k k k + sebagai satu pecahan k tunggal dalam bentuk termudah. press k k k + as a single fraction in its simplest form. k k k k + k k k k + k. (p q) pq = p pq q p 7pq q p pq + q p pq + q. ( ) =

8 . (m + n) 9mn m = m mn + n m + mn + n m 7mn + n m 7mn + n umus lgebra/lgebraic ormulae. iberi = +, ungkapkan dalam sebutan. iven = +, epress in terms of. = = = =. iberi r + = r, ungkapkan r dalam sebutan p. p iven r + = r, epress r in term of p. p r = p r = p r = p r = p 7. ajah di bawah ialah bil ang tidak lengkap bagi barang ang dibeli oleh uan iti. he diagram is an incomplete bill for the items bought b uan iti. uantiti uantit arang Item inggan late awan up arga seunit rice per unit () umlah otal arga rice () ulis satu persamaan bagi harga sebiji cawan dalam sebutan harga sebuah pinggan. Write an equation for the price of a cup in terms of the price of a plate. = = = = ersamaan inear I/inear quations I. iberi = +, cari nilai. iven = +, find the value of. 9. iberi w = (w ), cari nilai. iven w = (w ), find the value of. 9 9 Indeks/Indices. iberi p =, hitung nilai p. iven =, calculate the value of p. p. m = m m m ( m ). ingkaskan: a9 b b b implif: a a b a b a b a b 7. = etaksamaan inear/inear Inequalities. enelesaian bagi p > ialah he solution for p > is p > p < p < p >. iberi penelesaian bagi ketaksamaan linear serentak < < ialah p < < q, cari nilai p dan nilai q. iven the solution for the linear simultaneous inequalities < < is p < < q, find the values of p and q. p =, q = p =, q = p =, q = p =, q =. ntara berikut, ang manakah penelesaian bagi ketaksamaan serentak < dan 9 7? Which of the following is the solution for the linear simultaneous inequalities < and 9 7? 9, 9,,,,,,, tatistik I & II/tatistics I & II 7. ajah di bawah ialah carta palang ang menunjukkan bilangan pekerja di tiga sarikat,, dan. he diagram is a bar chart showing the number of workers in three companies,, and. arikat ompan ilangan pekerja umber of workers ekerja wanita emale workers ekerja lelaki ale workers ari beza antara bilangan pekerja lelaki dengan bilangan pekerja perempuan di ketiga-tiga sarikat itu. ind the difference between the number of male workers and the number of female workers in the three companies.. ajah di bawah menunjukkan satu set data. he diagram shows a set of data.,, ( + ),,, iberi bahawa min bagi data tersebut ialah. itung hasil tambah median dan mod. It is given that the mean of the data is. alculate the sum of the median and the mode ajah di bawah ialah piktogram ang menunjukkan bilangan pelancong ang mengunjungi suatu tempat peranginan dalam masa tiga hari. ilangan pelancong pada hari abu tidak ditunjukkan. he diagram is a pictogram showing the number of tourists who visit a resort in three das. he number of tourists on Wednesda is not shown. Isnin onda elasa uesda abu Wednesda hamis hursda mewakili pelancong represents tourists ilangan pelancong pada hari abu adalah daripada bilangan pelancong pada hari elasa. itung min bilangan pelancong pada sehari. he number of tourists on Wednesda is of the number of tourists on uesda. alculate the mean number of tourists in one da.. ajah di bawah ialah carta pai ang menunjukkan bilangan murid dalam lima pasukan unit beruniform. he diagram is a pie chart showing the number of students in five uniform units. andu uteri irl uide engakap cout adet olis olice adet ersatuan ulan abit erah ed rescent ociet iberi bilangan murid dalam adet olis ialah 7 orang dan nisbah : ialah :. ari bilangan murid dalam ersatuan ulan abit erah. iven the number of students in olice adet is 7 and the ratio of : is :. ind the number of students in ed rescent ociet. 7 7 ersamaan inear II/inear quations II. itung nilai dan nilai ang memuaskan persamaan linear serentak berikut: alculate the values of and that satisf the following simultaneous linear equations: = = [ markah/ marks] =... =... : =... : = = antikan = dalam. ( ) = = = = =, =. itung nilai dan nilai ang memuaskan persamaan linear serentak berikut: alculate the values of and that satisf the following simultaneous linear equations: + = = [ markah/ marks] + =... =... : + =... : = = antikan = dalam. = = = = =, =. itung nilai m dan nilai n ang memuaskan persamaan linear serentak berikut: alculate the values of m and n that satisf the following simultaneous linear equations: m + n = m n = [ markah/ marks] m + n =... m n =... : m + n =... : m n =... : 7n = n = antikan n = dalam. m + ( ) = m = m = m = m =, n =. i sebuah gerai buah-buahan, harga bagi biji epal dan biji oren ialah manakala harga bagi biji epal dan biji oren ang sama ialah. itung beza antara harga bagi biji epal dengan harga bagi biji oren. t a fruit stall, the price of apples and oranges is while the price of such apples and such oranges is. ind the difference between the price of apples and the price of oranges. [ markah/ marks] atakan harga sebiji epal = dan harga sebiji oren =. + =... + =... : + = 9... : + = 9... : = antikan = dalam. + () = + = = =. = (.) (.) =.. =. eza antara harga bagi biji epal dengan harga bagi biji oren ialah. epejal eometri III/olid eometr III. ajah di bawah menunjukkan sebuah gabungan pepejal ang dibentuk daripada sebuah kon tegak dan sebuah hemisfera. he diagram shows a composite solid formed b a right cone and a hemisphere. ejari kon itu ialah dan tinggi kon itu ialah cm. ejari hemisfera itu ialah. enggunakan π = 7, hitung isi padu, dalam cm, gabungan pepejal itu. eri jawapan betul kepada dua tempat perpuluhan. he radius of the cone is and the height of the cone is cm. he radius of the hemisphere is. sing π = 7, calculate the volume, in cm, of the composite solid. ive the answer correct to two decimal places. [ markah/ marks] Isi padu gabungan pepejal = Isi padu kon + Isi padu hemisfera = = = 9.7 cm. ajah di bawah menunjukkan sebanak 7 biji bebola besi dengan jejari. cm setiap satu, dimasukkan ke dalam sebuah bekas berbentuk silinder. he diagram shows 7 iron balls with a radius of. cm each, are put into a clindrical container. cm 7 cm enggunakan π = 7, hitung isi padu, dalam cm, air ang diperlukan untuk memenuhi bekas itu. sing π = 7, calculate the volume, in cm, of water that needed to fill up the container. [ markah/ marks] umlah isi padu 7 bebola besi = 7 7. = cm = 7.7 cm Isi padu bekas = 7. 7 =. cm Isi padu air ang diperlukan untuk memenuhi bekas =. 7.7 = ajah di bawah menunjukkan sebuah pepejal berbentuk prisma tegak dengan tapak segi empat tepat. rapezium ialah keratan rentas seragam prisma itu. ebuah silinder dengan tinggi dikeluarkan daripada prisma itu. he diagram shows a solid right prism with a rectangular base. rapezium is the uniform cross section of the prism. clinder with a height of is removed from the prism. cm W cm cm iberi bahawa isi padu pepejal ang tinggal ialah. enggunakan π =, hitung jejari, dalam 7 cm, silinder itu. It is given that the volume of the remaining solid is. sing π =, calculate the radius, in cm, of the clinder. 7 [ markah/ marks] Isi padu prisma tegak = ( + ) = 7 cm Isi padu silinder = 7 = atakan jejari silinder = j. 7 j = j = 7 = 9 j = 7 = cm atau. cm 9

9 . ajah di bawah menunjukkan sebuah tangki air berbentuk silinder di sebuah taman perumahan ang mempunai buah rumah. etiap rumah menerima isi padu air ang sama banak. he diagram shows a clindrical tank in a residential area which has houses. ach house received the equal volume of water. 7 m m iberi bahawa setiap rumah mempunai tangki berbentuk kuboid dengan keluasan tapak. m. enggunakan π =, hitung tinggi, dalam m, paras 7 air di dalam tangki bagi setiap rumah. It is given that each house has a cuboid tank with a base area of. m. sing π =, calculate the height, in m, of the water 7 level in the tank for each house. [ markah/ marks] Isi padu air di dalam tangki air berbentuk silinder = 7 7 = m atakan tinggi paras air di dalam tangki bagi setiap rumah = t. Isi padu air di dalam tangki m = bagi setiap rumah =. m. t =. t =.77 m ulatan I/ircles I 9. ajah di bawah menunjukkan semibulatan dan sukuan bulatan dengan pusat sepuna. ialah garis lurus dan =. he diagram shows a semicircle and a quadrant of a circle with common centre. is a straight line and =. cm enggunakan π = 7, hitung sing π = 7, calculate (a) perimeter, dalam cm, seluruh rajah itu, the perimeter, in cm, of the whole diagram, luas, dalam cm, kawasan berlorek. the area, in cm, of the shaded region. (a) = = cm = 7 cm = = erimeter seluruh rajah = + engkok + + engkok + = = = cm atau. cm uas seluruh rajah = uas sektor + uas sukuan bulatan = = 7 + = cm atau.7 cm. alam rajah di bawah, ialah sektor bulatan dengan pusat dan = cm. In the diagram, is a sector of a circle with centre and = cm. cm.7 enggunakan π = 7, hitung sing π = 7, calculate (a) perimeter, dalam cm, kawasan berlorek, the perimeter, in cm, of the shaded region, luas, dalam cm, kawasan berlorek. the area, in cm, of the shaded region. (a) = cm cm = cm = = erimeter kawasan berlorek = + + engkok = = =. uas kawasan berlorek = uas sektor uas segi tiga = = 7. =. cm. alam rajah di bawah, ialah sektor bulatan dan ialah sukuan bulatan dengan pusat sepuna. In the diagram, is a sector of a circle and is a quadrant of a circle with common centre. iberi bahawa = dan : = :. enggunakan π = 7, hitung It is given that = and : = :. sing π = 7, calculate (a) luas, dalam cm, kawasan berlorek, the area, in cm, of the shaded region, perimeter, dalam cm, kawasan berlorek. the perimeter, in cm, of the shaded region. (a) = = = cm udut refleks = 7 = uas kawasan berlorek = uas sektor uas sukuan bulatan = 7 7 = 7 7 = 7 cm 7 erimeter kawasan berlorek = + engkok engkok + = = = 9 7 cm. ajah di bawah menunjukkan dua sukuan bulatan, dan, dengan pusat sepuna. he diagram shows two quadrants, and, with common centre. iberi bahawa = dan = cm. enggunakan π = 7, hitung It is given that = and = cm. sing π = 7, calculate (a) perimeter, dalam cm, kawasan berlorek, the perimeter, in cm, of the shaded region, luas, dalam cm, kawasan berlorek. the area, in cm, of the shaded region. (a) = = cm = cm = + = 9 = 9. erimeter kawasan berlorek = + engkok engkok = = =. uas kawasan berlorek = uas sukuan bulatan + uas sukuan bulatan uas segi tiga = = + 9 = cm atau. cm. undarkan 9.7 betul kepada tiga angka bererti. ound off 9.7 correct to three significant figures ngkapkan.7 dalam bentuk piawai. press.7 in standard form =..... iberi bahawa 7 pepejal logam berbentuk kon, setiap satu dengan jejari mm dan tinggi mm, telah dileburkan untuk membentuk pepejal sfera ang serupa. itung isi padu, dalam mm, setiap pepejal sfera itu. It is given that 7 solid metal cones, each with a radius of mm and a height of mm, are melted to make identical solid spheres. alculate the volume, in mm, of each solid sphere. una/se π = ajah menunjukkan sebuah pentagon sekata di dalam sebuah oktagon sekata. ialah garis lurus. iagram shows a regular pentagon in a regular octagon. is a straight line. ajah /iagram ari nilai dan nilai. ind the values of and. =, = =, = =, = 7 = 7, = II I atu jam lima belas minit ertas peperiksaan ini mengandungi soalan. awab semua soalan. agi setiap soalan, pilih satu jawapan sahaja daripada pilihan,, dan. nda dibenarkan menggunakan kalkulator saintifik. his question paper consists of questions. nswer all the questions. or each question, choose onl one answer from the options,, and. ou ma use a scientific calculator.. alam ajah, ialah sebuah heksagon sekata. dan ialah garis lurus. In iagram, is a regular heagon. and are straight lines. ajah /iagram ari nilai +. ind the value of alam ajah, ialah sebahagian daripada sebuah poligon sekata. In iagram, is part of a regular polgon. ajah /iagram ari bilangan sisi poligon itu. ind the number of sides of the polgon. 9. i bawah suatu pembesaran, luas suatu objek ialah π cm dan luas imejna ialah π cm. ari faktor skala pembesaran itu. In an enlargement, the area of an object is π cm and the area of its image is π cm. ind the scale factor of the enlargement alam ajah, ialah sebuah oktagon sekata di dalam sebuah bulatan berpusat. In iagram, is a regular octagon in a circle with centre. ajah /iagram ari imej bagi segi tiga di bawah satu putaran lawan arah jam pada pusat. ind the image of the triangle under an anticlockwise rotation of about centre. egi tiga egi tiga riangle riangle egi tiga egi tiga riangle riangle. aktorkan selengkapna: actorise completel: (w + w) + w (w )(w ) (w )(w + ) (w + )(w ) (w + )(w + ). + ( ) = ( + )( 7) ( + )( + 7) ( + )( 7) ( + ). iberi k = c, ungkapkan c dalam sebutan k dan h. h iven k = c, epress c in terms of k and h. h c = hk c = h k c = hk c = hk. ngkapkan sebagai satu pecahan tunggal dalam bentuk termudah. press as a single fraction in its simplest form. ( ) ( ) ( + ). iberi =, cari nilai. iven ( + ) =, find the value of r p = 9p r r p p r r 9p. = 7. iberi bahawa < dan < 9, dengan keadaan dan ialah integer. ari nilai maksimum bagi. It is given that < and < 9, where and are integers. ind the maimum value of.. enaraikan semua integer ang memuaskan ketaksamaan linear dan <. ist all the integers that satisf the linear inequalities and <.,,,,, 7,,,,, 7,,,,,, 9. alam ajah, ialah garis lurus. In iagram, is a straight line. cm ajah /iagram iberi =, cari nilai tan. iven =, find the value of tan.

10 . alam ajah, titik dan titik terletak di atas lengkok suatu bulatan unit berpusat. In iagram, point and point lie on the arc of a unit circle with centre. (.,.7) b a ajah /iagram ari nilai kos a + sin b. ind the value of cos a + sin b (.,.). alam ajah 7, ialah tangen kepada bulatan di. dan ialah garis lurus. In iagram 7, is a tangent to the circle at. and are straight lines. 7 ajah 7/iagram 7 ari nilai +. ind the value of alam ajah, ialah tangen kepada bulatan berpusat di. In iagram, is a tangent to the circle with centre at.. alam ajah 9, dan ialah tangen sepuna kepada dua bulatan ang masing-masing berpusat dan. ialah garis lurus. In iagram 9, and are tangents to two circles with centres and respectivel. is a straight line. ajah 9/iagram 9 ari. ind.. ajah menunjukkan sebuah kuboid dengan tapak mengufuk. dan masing-masing ialah titik tengah bagi dan. iagram shows a cuboid with a horizontal base. and are the midpoints of and respectivel. ajah /iagram amakan sudut di antara garis dengan satah. ame the angle between the line and the plane.. ajah menunjukkan sebuah piramid tegak dengan tapak mengufuk segi empat tepat. egi tiga dan ialah segi tiga sama sisi. dan masingmasing ialah titik tengah bagi dan. iagram shows a right pramid with a horizontal rectangular base. riangles and are equilateral triangles. and are the midpoints of and respectivel.. ajah menunjukkan sebuah bangunan setinggi m di atas permukaan tanah. udut tunduk titik dan titik dari puncak masing-masing ialah dan 7. iagram shows a building with a height of m on the ground. he angles of depression of point and point from peak are and 7 respectivel. ajah /iagram ari jarak, dalam m, di antara titik dan titik. ind the distance, in m, between point and point ajah menunjukkan sebatang tiang tegak ang diikat dengan dua utas dawai, dan., dan ialah tiga titik pada satah mengufuk. iagram shows a vertical pole which is tied with two wires, and., and are three points lie on the horizontal plane. m m ajah /iagram udut tunduk titik dari titik ialah. itung sudut dongakan titik dari titik. he angle of depression point from point is. alculate the angle of elevation point from point. ʹ 9ʹ ʹ 9ʹ. alam ajah, titik ialah titik tengah bagi. In iagram, point is the midpoint of. (, ) ari persamaan bagi satu garis lurus ang melalui titik dan asalan. ind the equation of a straight line that passes through point and the origin. = + = = + = 9. ajah menunjukkan dua garis lurus, dan, pada satu satah artes. itik dan terletak di paksi- dengan keadaan : = :. iagram shows two straight lines, and, on a artesian plane. oints and lie on the -ais where : = :. + = ajah /iagram ari kecerunan bagi garis lurus. ind the gradient of the straight line.. alam ajah, ialah sebuah segi empat selari ang dilukis pada satah artes dan ialah asalan. In iagram, is a parallelogram drawn on a artesian plane and is the origin. (, ) (, ) ajah /iagram ari nilai. ind the value of. ajah /iagram iberi bahawa = = cm dan = cm. itung sudut di antara satah dengan tapak. It is given that = = cm and = cm. alculate the angle between the plane and the base (, ) ajah /iagram ajah /iagram ari koordinat titik. ind the coordinates of point. (, 7) (, 7) (, ) (, ). adual menunjukkan taburan kekerapan skor bagi sekumpulan peserta dalam suatu permainan. able shows the frequenc distribution of the scores of a group of participants in a game. kor core ilangan peserta umber of participants 9 m adual /able ika skor median ialah, cari nilai ang mungkin bagi m. If the median score is, find the possible value of m.. adual menunjukkan jisim durian ang dijual oleh ak asim. able shows the masses of durians sold b ak asim. isim/ass (kg) ekerapan/requenc adual /able itung min jisim, dalam kg, sebiji durian. alculate the mean mass, in kg, of a durian ajah 7 ialah ogif ang menunjukkan markah ang diperoleh murid dalam satu ujian atematik. iagram 7 is an ogive showing the marks obtained b students in a athematics test. ekerapan longgokan umulative frequenc arkah arks 7 ajah 7/iagram 7 ari bilangan murid ang lulus dalam ujian itu jika markah lulus ialah. ind the number of students who passed the test if the passing mark is.. adual menunjukkan umur bagi orang pesakit di sebuah hospital. able shows the ages of patients in a hospital. mur (tahun) ilangan pesakit ge (ears) umber of patients 7 adual /able ika seorang pesakit dipilih secara rawak daripada hospital itu, cari kebarangkalian bahawa pesakit itu berumur antara hingga tahun. If a patient is chosen at random from the hospital, find the probabilit that the patient s age is between and ears old ambar rajah enn manakah ang mewakili set ( )ʹ? Which enn diagram represents set ( )ʹ? ξ ξ ξ ξ. iberi ξ = { : dan ialah integer}, = { : ialah nombor perdana}, = { : ialah nombor dengan hasil tambah digit-digitna ialah 7}, = { : ialah kuasa dua sempurna}. iven ξ = { : and is an integer}, = { : is a prime number}, = { : is a number where the sum of its digits is 7}, = { : is a perfect square}. ari n( )ʹ. ind n( )ʹ ajah ialah gambar rajah enn ang menunjukkan bilangan murid ang menertai tiga jenis permainan dengan keadaan set semesta, ξ = Z. iagram is a enn diagram showing the number of students who join three tpes of games where the universal set, ξ = Z. m m Z ajah /iagram ilangan murid ang menertai permainan adalah sama dengan permainan Z. ari bilangan murid ang menertai satu jenis permainan sahaja. he number of students who join game is the same as game Z. ind the number of students who join onl one tpe of game.. ua puluh keping kad ditulis dengan nombor bersiri dari hingga 7. emua kad itu dimasukkan ke dalam sebuah kotak. ekeping kad dipilih secara rawak daripada kotak itu. ari kebarangkalian memilih satu gandaan. went cards are written with serial numbers from to 7. ll the cards are put into a bo. card is chosen at random from the bo. ind the probabilit of choosing a multiple of ebuah kilang ada orang pekerja lelaki dan sejumlah pekerja wanita. eorang pekerja dipilih secara rawak dari kilang itu. ebarangkalian memilih seorang pekerja wanita ialah. ari bilangan pekerja wanita di kilang itu. here are male workers and a number of female workers in a factor. worker is chosen at random from the factor. he probabilit of choosing a female worker is. ind the number of the female workers in the factor. 7. adual menunjukkan bilangan murid di dalam sebuah dewan pada suatu pagi. able shows the number of students in a hall in a morning. urid tudent ilangan murid umber of students elau ala ina hinese India Indian + adual /able eorang murid dipilih secara rawak daripada dewan itu. ebarangkalian memilih seorang murid India ialah. ada waktu rehat, orang murid ina telah keluar dari dewan itu manakala orang murid elau pula masuk ke dewan itu. ari kebarangkalian memilih seorang murid ina daripada dewan itu sekarang. student is chosen at random from the hall. he probabilit of choosing an Indian student is. uring recess, hinese students leave the hall meanwhile ala students enter the hall. ind the probabilit of choosing a hinese student from the hall now

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